Question

Look at the sequence in the table

Which recursive formula represents the sequence shown?
A) an=an-1+5
B) an= 2an-1 +1
C) an= 3an-1 -1
D) an= 5an-1 +1

Answer 1

Answer:

$a_n=a_{n-1}+5$

Step-by-step explanation:

From the table, the first term is 3 and the second term is 8.

The common difference is d=8-3=5

The recursive definition is given as:

$a_n=a_{n-1}+d$

So we just have to substitute the common difference to get:

$a_n=a_{n-1}+5$

Therefore the correct choice is A